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3D shape based reconstruction of experimental data in Diffuse Optical Tomography

Zacharopoulos, A; Schweiger, M; Kolehmainen, V; Arridge, S; (2009) 3D shape based reconstruction of experimental data in Diffuse Optical Tomography. Optics express , 17 (21) 18940 - 18956. 10.1364/OE.17.018940. Green and gold open access

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Abstract

Diffuse optical tomography (DOT) aims at recovering three-dimensional images of absorption and scattering parameters inside diffusive body based on small number of transmission measurements at the boundary of the body. This image reconstruction problem is known to be an ill-posed inverse problem, which requires use of prior information for successful reconstruction. We present a shape based method for DOT, where we assume a priori that the unknown body consist of disjoint subdomains with different optical properties. We utilize spherical harmonics expansion to parameterize the reconstruction problem with respect to the subdomain boundaries, and introduce a finite element (FEM) based algorithm that uses a novel 3D mesh subdivision technique to describe the mapping from spherical harmonics coefficients to the 3D absorption and scattering distributions inside a unstructured volumetric FEM mesh. We evaluate the shape based method by reconstructing experimental DOT data, from a cylindrical phantom with one inclusion with high absorption and one with high scattering. The reconstruction was monitored, and we found a 87% reduction in the Hausdorff measure between targets and reconstructed inclusions, 96% success in recovering the location of the centers of the inclusions and 87% success in average in the recovery for the volumes.

Type:Article
Title:3D shape based reconstruction of experimental data in Diffuse Optical Tomography
Open access status:An open access publication. A version is also available from UCL Discovery.
DOI:10.1364/OE.17.018940
Publisher version:http://dx.doi.org/10.1364/OE.17.018940
Language:English
Additional information:This paper was published in Optics express and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://dx.doi.org/10.1364/OE.17.018940. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.
Keywords:Piecewise-constant coefficients, Image-reconstruction, Prior information, Regularization, Conductivity, Absorption, Algorithm, Transport, Recovery, MRI
UCL classification:UCL > School of BEAMS > Faculty of Engineering Science > Computer Science

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